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Finding the Third Proportional to 837,044,871 and 1,306,428,177

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Solution

The third proportional to 837,044,871 and 1,306,428,177 is: 2,039,024,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,044,871 : 1,306,428,177 = 1,306,428,177 : x
  2. Step 2: Convert to fraction form
    837,044,871/1,306,428,177 = 1,306,428,177/x
  3. Step 3: Cross multiply
    837,044,871x = 1,306,428,177 × 1,306,428,177
  4. Step 4: Simplify right side
    837,044,871x = 1,706,754,581,659,543,296
  5. Step 5: Solve for x
    x = 1,706,754,581,659,543,296/837,044,871
  6. Step 6: Final answer
    x = 2,039,024,000.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.